Symmetries and solutions for a Fisher equation with a proliferation term involving tumor development
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6105
Abstract: We consider a generalized Fisher equation involving tumor development from the point of view of the theory of symmetry reductions in partial differential equations. The study of this equation is relevant as it includes generalizations… read more here.
Keywords: tumor; tumor development; equation; fisher equation ... See more keywords
A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach
Sign Up to like & getrecommendations! Published in 2021 at "Heliyon"
DOI: 10.1016/j.heliyon.2021.e07001
Abstract: In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki integral transform (an improved version of Laplace transform) and a modified differential transform called the projected differential transform (PDTM) have… read more here.
Keywords: fisher equation; burgers fisher; solution; differential transform ... See more keywords
A novel numerical approach for solving generalized fractional Fisher's equation
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DOI: 10.1088/1402-4896/ada401
Abstract: This paper aims to construct a novel numerical technique, the General Transform Adomian Decomposition Method (GTADM), for obtaining approximate solutions of fractional generalized Fisher's equation (FGFE). The fractional order is in the sense of Caputo.… read more here.
Keywords: equation; novel numerical; fractional fisher; fisher equation ... See more keywords
Investigation of the nonlinear generalized two-dimensional fisher’s equation with a source term using bicubic B-spline interpolation method
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DOI: 10.1088/1402-4896/adf265
Abstract: Nonlinear reaction-diffusion problems, such as the nonlinear generalized two-dimensional Fisher’s equation, have significant applications in many fields, including developmental biology, population dynamics, engineering, and physics. This study focuses on the numerical solution of the two-dimensional… read more here.
Keywords: fisher equation; dimensional fisher; two dimensional; bicubic spline ... See more keywords
Solution of imprecisely defined nonlinear time-fractional Fisher equation using fractional reduced differential transform method
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DOI: 10.1108/ec-09-2024-0834
Abstract: PurposeThe study aims to obtain a semi-analytical solution for the fuzzy time-fractional Fisher equation (FtfFE) considering uncertain coefficients involved in initial condition as a triangular fuzzy number (TFN).Design/methodology/approachFractional reduced differential transform method (FRDTM) has been… read more here.
Keywords: time fractional; fisher equation; solution; fractional fisher ... See more keywords
A bounded and monotone finite-difference solution of a hyperbolic Burgers–Fisher equation
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Modern Physics C"
DOI: 10.1142/s012918311850122x
Abstract: In this work, a nonlinear finite-difference scheme is provided to approximate the solutions of a hyperbolic generalization of the Burgers–Fisher equation from population dynamics. The model under study is a partial differential equation with nonlinear… read more here.
Keywords: difference; bounded monotone; fisher equation; burgers fisher ... See more keywords
Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods
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DOI: 10.11648/j.fm.20180401.13
Abstract: In this paper the Burger’s_Fisher equation inone dimension has been solved by using three finite differences methods which are the explicit method, exponential method and DuFort_Frankel method After comparing the numerical results of those methods… read more here.
Keywords: fisher equation; finite differences; solution; burger fisher ... See more keywords
On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2080-x
Abstract: Li et al. (SIAM J. Sci. Comput. 20:719–738, 1998) used the moving mesh partial differential equation (MMPDE) to solve a scaled Fisher’s equation and the initial condition consisting of an exponential function. The results obtained… read more here.
Keywords: fisher equation; term; equation; numerical solution ... See more keywords